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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "import math\n",
    "import torch\n",
    "import matplotlib.pyplot as plt \n",
    "import d2lzh as d2l \n",
    "\n",
    "def rmsprop_2d(x1,x2,s1,s2):\n",
    "    g1,g2,eps = 0.2 * x1,4 * x2,1e-6\n",
    "    s1 = gamma * s1 + (1-gamma) * g1 ** 2\n",
    "    s2 = gamma * s2 + (1-gamma) * g2 ** 2\n",
    "    x1 -= eta / math.sqrt(s1 + eps) * g1\n",
    "    x2 -= eta / math.sqrt(s2 + eps) * g2\n",
    "\n",
    "    return x1,x2,s1,s2\n",
    "\n",
    "def f_2d(x1,x2):\n",
    "    return 0.1 * x1 ** 2 + 2 * x2 ** 2\n",
    "\n",
    "eta,gamma = 0.4,0.9\n",
    "d2l.show_trace_2d(f_2d,d2l.train_2d(rmsprop_2d))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "loss: 0.248526, 0.057410 sec per epoch \n"
    },
    {
     "output_type": "display_data",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "features,labels = d2l.get_data_ch7()\n",
    "\n",
    "def init_rmsprop_states():\n",
    "    s_w = torch.zeros((features.shape[1],1),dtype=torch.float32)\n",
    "    s_b = torch.zeros(1,dtype=torch.float32)\n",
    "\n",
    "    return (s_w,s_b)\n",
    "\n",
    "def rmsprop(params,states,hyperparams):\n",
    "    gamma,eps = hyperparams[\"lr\"],1e-6\n",
    "    for p,s in zip(params,states):\n",
    "        s.data = gamma * s.data + (1-gamma) * (p.grad.data)**2\n",
    "        p.data -= hyperparams[\"lr\"] * p.grad.data / torch.sqrt(s + eps)\n",
    "\n",
    "d2l.train_ch7(rmsprop,init_rmsprop_states(),{\"lr\":0.1,\"gamma\":0.9},features,labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "loss: 0.248283, 0.049870 sec per epoch \n"
    },
    {
     "output_type": "display_data",
     "data": {
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     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "d2l.train_ch7(rmsprop,init_rmsprop_states(),{\"lr\":0.01,\"gamma\":0.9},features,labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": "loss: 0.270266, 0.043221 sec per epoch \n"
    },
    {
     "output_type": "display_data",
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     }
    }
   ],
   "source": [
    "d2l.train_pytorch_ch7(torch.optim.RMSprop,{\"lr\":0.1,\"alpha\":0.9},features,labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.7-final"
  },
  "orig_nbformat": 2,
  "kernelspec": {
   "name": "python37764bitpytorchnotebookconda6e7a8693df0d4d92aca09d521275d23a",
   "display_name": "Python 3.7.7 64-bit ('pytorch_notebook': conda)"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}